Van der Sloot must first serve his 28-year prison sentence in Peru before he can come to the U.S. However, Lawyer Maximo Altez says the court's decision is not final. It is awaiting approval from Peru's justice minister and Cabinet.
Van der Sloot faces extortion charges in Alabama in connection with the unsolved 2005 disappearance of American teen Natalee Holloway in Aruba exactly five years before he killed a Peruvian college student in Lima.
The Dutchman remains the prime suspect Holloway's disappearance. The U.S. charges stem from his alleged acceptance of $25,000 in early 2010 in exchange for an unfulfilled promise to lead her mother's lawyer to the body.
The Associated Press contributed to this report.